Derived Equivalences for Group Rings

Derived Equivalences for Group Rings
Author :
Publisher : Springer
Total Pages : 256
Release :
ISBN-13 : 9783540697480
ISBN-10 : 3540697489
Rating : 4/5 (89 Downloads)

Book Synopsis Derived Equivalences for Group Rings by : Steffen König

Download or read book Derived Equivalences for Group Rings written by Steffen König and published by Springer. This book was released on 2006-11-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.


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